söndag 10 november 2013

BodyandSoul vs Standard Calculus 0

BodyandSoul is Constructive or Computational Calculus while Standard Calculus as presented in the standard text book Calculus: A Complete Course by Adams and Essex, can be described as Analytic or Symbolic Calculus. I gave a basic example of the difference between a constructive and symbolic approach in the post

We see that Analytical/Symbolic Calculus uses the concept of limit which is a difficult concept involving the mysterious process of $\Delta t$ tending to zero or becoming infinitessimally small, but holy God, not zero!

We see that Constructive/Computational Calculus does not use the difficult concept of limit, only the more basic and easy to grasp concept of local change, with a function being Lipschitz continuous if it is locally constant and differentiable if is locally linear with specified deviations.